We consider a comprehensive synchronization strategy for burst-mode transmission of shaped-offset quadrature phase-shift keying (SOQPSK) signals over the additive white Gaussian noise channel. Due to the similarities between SOQPSK and continuous phase modulation (CPM), we make use of recent results for synchronization of burst-mode CPMs. We first derive a training sequence that is optimal in the sense that it jointly minimizes the Cramér–Rao bounds (CRBs) for frequency offset, phase offset, and timing offset estimation. Additionally, we develop a maximum likelihood data-aided algorithm for joint estimation of the synchronization parameters for SOQPSK signals. We show that the proposed algorithm for the optimal training sequence can be adapted to work with the suboptimal training sequence that is being considered for use in burst-mode integrated network enhanced telemetry. This demonstrates an immediate practical application for our approach. We present numerical results on the mean-squared error performance of the proposed algorithm for both training sequences and for different versions of SOQPSK. The numerical results show that our joint estimation algorithm yields performance that is very close to the CRBs for all three synchronization variables. Finally, we compare the overall performance of our proposed training sequence and synchronization algorithm for different sequence lengths by simulating a burst-mode SOQPSK receiver. This allows us to employ the right training sequence length based on the desired complexity and bit error rate performance.

中文翻译：

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SOQPSK 的突发模式同步

我们考虑了一种综合同步策略，用于在加性高斯白噪声信道上进行整形偏移正交相移键控 (SOQPSK) 信号的突发模式传输。由于 SOQPSK 和连续相位调制 (CPM) 之间的相似性，我们利用最近的结果来同步突发模式 CPM。我们首先推导出一个最优的训练序列，因为它联合最小化了频率偏移、相位偏移和时序偏移估计的 Cramér-Rao 界限 (CRB)。此外，我们开发了一种最大似然数据辅助算法，用于联合估计 SOQPSK 信号的同步参数。我们表明，针对最佳训练序列提出的算法可以适用于正在考虑用于突发模式集成网络增强遥测的次优训练序列。这证明了我们方法的直接实际应用。我们针对训练序列和不同版本的 SOQPSK 给出了所提出算法的均方误差性能的数值结果。数值结果表明，我们的联合估计算法产生的性能非常接近所有三个同步变量的 CRB。最后，我们通过模拟突发模式 SOQPSK 接收器来比较我们提出的训练序列和同步算法在不同序列长度下的整体性能。